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Finding the Fourth Proportional to 9,292.93, 12,824.17 and 5,314.71

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Solution

The fourth proportional to 9,292.93, 12,824.17 and 5,314.71 is: 7,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.93 : 12,824.17 = 5,314.71 : x
  2. Step 2: Convert to fraction form
    9,292.93/12,824.17 = 5,314.71/x
  3. Step 3: Cross multiply
    9,292.93x = 12,824.17 × 5,314.71
  4. Step 4: Simplify right side
    9,292.93x = 68,156,809.24
  5. Step 5: Solve for x
    x = 68,156,809.24/9,292.93
  6. Step 6: Final answer
    x = 7,334.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.